Acronym	nophap
Name	spinopentachoric hemiantiprism, pseudo pentachoric hemiantiprism
Circumradius	1/sqrt(2) = 0.707107
Inradius wrt. pen	1/sqrt(10) = 0.316228
Inradius wrt. tho	0
Vertex figure	©
Coordinates	(1/sqrt(2), 0, 0, 0, 0)   & all permutations, all changes of sign
General of army	tac
Colonel of regiment	tac
Dihedral angles (at margins)	at tet between pen and pen:   arccos(-3/5) = 126.869898° at oct between tho and tho:   90° at tet between pen and tho:   arccos(1/sqrt(5)) = 63.434949°
Face vector	10, 40, 80, 80, 25
Confer	general polytopal classes: segmentotera
External links

Incidence matrix

10 |  4  4 |  6 18 | 16 12  6 | 4 10
---+-------+-------+----------+-----
 2 | 20  * |  3  3 |  6  3  3 | 3  4
 2 |  * 20 |  0  6 |  6  6  3 | 3  6
---+-------+-------+----------+-----
 3 |  3  0 | 20  * |  2  0  1 | 2  1
 3 |  1  2 |  * 60 |  2  2  1 | 2  3
---+-------+-------+----------+-----
 4 |  3  3 |  1  3 | 40  *  * | 1  1  tet
 4 |  2  4 |  0  4 |  * 30  * | 0  2  tet
 6 |  6  6 |  2  6 |  *  * 10 | 2  0  oct
---+-------+-------+----------+-----
 8 | 12 12 |  8 24 |  8  0  4 | 5  *  tho
 5 |  4  6 |  1  9 |  2  3  0 | * 20  pen

or
5 * |  4  4  0 |  6 12  6  0 | 12 12  6  4 | 4  6  4
* 5 |  0  4  4 |  0  6 12  6 |  4 12  6 12 | 4  4  6
----+----------+-------------+-------------+--------
2 0 | 10  *  * |  3  3  0  0 |  6  3  3  0 | 3  3  1
1 1 |  * 20  * |  0  3  3  0 |  3  6  3  3 | 3  3  3
0 2 |  *  * 10 |  0  0  3  3 |  0  3  3  6 | 3  1  3
----+----------+-------------+-------------+--------
3 0 |  3  0  0 | 10  *  *  * |  2  0  1  0 | 2  1  0
2 1 |  1  2  0 |  * 30  *  * |  2  2  1  0 | 2  2  1
1 2 |  0  2  1 |  *  * 30  * |  0  2  1  2 | 2  1  2
0 3 |  0  0  3 |  *  *  * 10 |  0  0  1  2 | 2  0  1
----+----------+-------------+-------------+--------
3 1 |  3  3  0 |  1  3  0  0 | 20  *  *  * | 1  1  0  tet
2 2 |  1  4  1 |  0  2  2  0 |  * 30  *  * | 0  1  1  tet
3 3 |  3  6  3 |  1  3  3  1 |  *  * 10  * | 2  0  0  oct
1 3 |  0  3  3 |  0  0  3  1 |  *  *  * 20 | 1  0  1  tet
----+----------+-------------+-------------+--------
4 4 |  6 12  6 |  4 12 12  4 |  4  0  4  4 | 5  *  *  tho
3 2 |  3  6  1 |  1  6  3  0 |  2  3  0  0 | * 10  *  pen
2 3 |  1  6  3 |  0  3  6  1 |  0  3  0  2 | *  * 10  pen